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Simplifying 5v + -4(1 + -6v) = -5(-3v + -2) 5v + (1 * -4 + -6v * -4) = -5(-3v + -2) 5v + (-4 + 24v) = -5(-3v + -2) Reorder the terms: -4 + 5v + 24v = -5(-3v + -2) Combine like terms: 5v + 24v = 29v -4 + 29v = -5(-3v + -2) Reorder the terms: -4 + 29v = -5(-2 + -3v) -4 + 29v = (-2 * -5 + -3v * -5) -4 + 29v = (10 + 15v) Solving -4 + 29v = 10 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -4 + 29v + -15v = 10 + 15v + -15v Combine like terms: 29v + -15v = 14v -4 + 14v = 10 + 15v + -15v Combine like terms: 15v + -15v = 0 -4 + 14v = 10 + 0 -4 + 14v = 10 Add '4' to each side of the equation. -4 + 4 + 14v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 14v = 10 + 4 14v = 10 + 4 Combine like terms: 10 + 4 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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